The coherent homotopy category over a fixed space is a category of fractions

DOI10.1016/0166-8641(91)90109-YzbMath0751.55010OpenAlexW2043701831MaRDI QIDQ1187113

Timothy Porter, Keith A. Hardie, Klaus Heiner Kamps

Publication date: 28 June 1992

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0166-8641(91)90109-y

zbMATH Keywords

homotopy equivalencescategoriesquotient categoryhomotopies

Mathematics Subject Classification ID

Homotopy equivalences in algebraic topology (55P10) Homotopy theory (55P99) Abstract and axiomatic homotopy theory in algebraic topology (55U35)

Related Items (3)

Liftings in categorical homotopy ⋮ Unnamed Item ⋮ A coherent homotopy category of 2-track commutative cubes

Cites Work

• Cech and Steenrod homotopy theories with applications to geometric topology
• Homotopy limits and colimits
• Homotopietheorie
• Partitions of unity in the theory of fibrations
• Zur omotopietheorie von Gruppoiden
• Vogt's theorem on categories of homotopy coherent diagrams
• Categorical Homotopy and Fibrations
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